Dynamics of a Tracer Particle Interacting with Excitations of a Bose-Einstein

Lampart, Jonas und Pickl, Peter (2022): Dynamics of a Tracer Particle Interacting with Excitations of a Bose-Einstein. In: Annales Henri Poincare, Vol. 23, No. 8: pp. 2855-2876

Abstract

We consider the quantum dynamics of a large number N of interacting bosom coupled a tracer particle, i.e. a particle of another kind, on a torus. We assume that in the initial state the bosom essentially form a homogeneous Bose-Einstein condensate, with some excitations. With an appropriate mean-field scaling of the interactions, we prove that the effective dynamics for N -> infinity is generated by the Bogoliubov-Frohlich Hamiltonian, which couples the tracer particle linearly to the excitation field.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English